Anzeige
Erschienen in:
2009 | OriginalPaper | Buchkapitel
Volume and Entropy of Regular Timed Languages: Discretization Approach
verfasst von : Eugene Asarin, Aldric Degorre
Erschienen in: CONCUR 2009 - Concurrency Theory
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
For timed languages, we define size measures: volume for languages with words having a fixed finite number of events, and entropy (growth rate) as asymptotic measure for an unbounded number of events. These measures can be used for quantitative comparison of languages, and the entropy can be viewed as the information contents of a timed language. For languages accepted by deterministic timed automata, we give exact formulas for volumes. Next, for a large class of timed languages accepted by non-Zeno timed automata, we devise a method to approximate the volumes and the entropy based on discretization. We give an information-theoretic interpretation of the entropy in terms of Kolmogorov complexity.